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Finding the Fourth Proportional to 171,851.90, 257,559.15 and 82,913.90

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Solution

The fourth proportional to 171,851.90, 257,559.15 and 82,913.90 is: 124,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,851.90 : 257,559.15 = 82,913.90 : x
  2. Step 2: Convert to fraction form
    171,851.90/257,559.15 = 82,913.90/x
  3. Step 3: Cross multiply
    171,851.90x = 257,559.15 × 82,913.90
  4. Step 4: Simplify right side
    171,851.90x = 21,355,233,607.19
  5. Step 5: Solve for x
    x = 21,355,233,607.19/171,851.90
  6. Step 6: Final answer
    x = 124,265.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.